Blow-up regimes by non-isothermal gas/steam filtration through the underground particle layer with internal heat sources
2009 (English)In: International journal of geology, Vol. 3, no 4, 101-111 p.Article in journal (Refereed) Published
Two-dimensional non-stationary model for the non-isothermal gas/steam filtration through a monospherical particle layer with internal heat generation is considered with a particular emphasis on the nonthermal gas/particles local equilibrium, taking into account the real non-linear properties of the media. The boundary problem for the multiphase system of gas and particles is formulated and solved numerically using the effective finite-difference fractional time-step method. It is shown that some initial thermodynamic perturbations in the system may cause localization of a gas heating (mainly due to a non-linear heat conductivity), which will lead to a temperature escalation in a specific spatial subdomains. Furthermore, the effects of other parameters such as particles’ size and porosity of the layer, an amplitude and a form of an initial temperature perturbation, the level of an initial temperature difference between the gas and solid phases, etc. are analyzed. The model considered can be comparably easily modified for the three-dimensional non-stationary case using the numerical algorithm applied. An examples of computer simulations are presented for the cases of the volcanic geological mains and for the nuclear power safety. The phenomenon of the blow-up regimes due to non-linear heat conductivity causing local abnormal heat escalation in a narrow domain may be of great interest for some natural, as well as technical systems and processes.
Place, publisher, year, edition, pages
NAUN , 2009. Vol. 3, no 4, 101-111 p.
Blow-up heating, filtration, underground layer, non-linear heat conductivity
Research subject SRA - Energy
IdentifiersURN: urn:nbn:se:kth:diva-88882OAI: oai:DiVA.org:kth-88882DiVA: diva2:502572
QC 201202162012-02-162012-02-142012-02-16Bibliographically approved